The export does have the line and in fact the live project shows the line as well.
I removed the 'dip to black' transition and the line disappears at the beginning of the project.
When I remove the 'dip to black' transition at the end of the project, there is a purple band that appears on the right of the screen.
I haven't exported that version to see if that shows up in the finished video.
I have a feeling it has something to do with the transition.
OK, that clears it up.
Don't use Dip to Black except when you want to go to black between two video clips. Use the Film Dissolve for opening and closing fades.
Also, click the wrench under the monitor and select Overlay Settings>Settings... Uncheck the "End of media/sequence Indicators" box.